FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Rotunda given Surface to Volume Ratio Formula

GoHeight of Rotunda Formula

GoHeight of Rotunda given Total Surface Area Formula

Fx Copy

LaTeX Copy

Height of Rotunda is the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda. Check FAQs

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{R A/V \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

h - Height of Rotunda?R_A/V - Surface to Volume Ratio of Rotunda?

Height of Rotunda given Surface to Volume Ratio Example

With values

With units

Only example

Here is how the Height of Rotunda given Surface to Volume Ratio equation looks like with Values.

Here is how the Height of Rotunda given Surface to Volume Ratio equation looks like with Units.

Here is how the Height of Rotunda given Surface to Volume Ratio equation looks like.

14.8209 = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

14.8209m = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3m⁻¹ \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

14.8209 = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Height of Rotunda given Surface to Volume Ratio

Height of Rotunda given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Height of Rotunda given Surface to Volume Ratio?

FIRST Step Consider the formula

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{R A/V \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3m⁻¹ \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

h = 14.82091949867m

LAST Step Rounding Answer

∴

h = 14.8209m

Height of Rotunda given Surface to Volume Ratio Formula Elements

Variables

Functions

Height of Rotunda

Height of Rotunda is the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Rotunda

Surface to Volume Ratio of Rotunda

Surface to Volume Ratio of Rotunda is the numerical ratio of the total surface area of a Rotunda to the volume of the Rotunda.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rotunda

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Height of Rotunda

Go Height of Rotunda

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot l e

Go Height of Rotunda given Total Surface Area

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \sqrt{\frac{TSA}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

Go Height of Rotunda given Volume

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Height of Rotunda given Circumsphere Radius

h = \sqrt{1 + \frac{2}{\sqrt{5}}} \cdot \frac{2 \cdot r c}{1 + \sqrt{5}}

How to Evaluate Height of Rotunda given Surface to Volume Ratio?

Height of Rotunda given Surface to Volume Ratio evaluator uses Height of Rotunda = sqrt(1+2/sqrt(5))*(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Surface to Volume Ratio of Rotunda*1/12*(45+(17*sqrt(5)))) to evaluate the Height of Rotunda, The Height of Rotunda given Surface to Volume Ratio formula is defined as the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda and is calculated using the surface to volume ratio of the Rotunda. Height of Rotunda is denoted by h symbol.

How to evaluate Height of Rotunda given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Height of Rotunda given Surface to Volume Ratio, enter Surface to Volume Ratio of Rotunda (R_A/V) and hit the calculate button.

FAQs on Height of Rotunda given Surface to Volume Ratio

What is the formula to find Height of Rotunda given Surface to Volume Ratio?

The formula of Height of Rotunda given Surface to Volume Ratio is expressed as Height of Rotunda = sqrt(1+2/sqrt(5))*(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Surface to Volume Ratio of Rotunda*1/12*(45+(17*sqrt(5)))). Here is an example- 14.82092 = sqrt(1+2/sqrt(5))*(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(0.3*1/12*(45+(17*sqrt(5)))).

How to calculate Height of Rotunda given Surface to Volume Ratio?

With Surface to Volume Ratio of Rotunda (R_A/V) we can find Height of Rotunda given Surface to Volume Ratio using the formula - Height of Rotunda = sqrt(1+2/sqrt(5))*(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Surface to Volume Ratio of Rotunda*1/12*(45+(17*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Rotunda?

Here are the different ways to Calculate Height of Rotunda-

Height of Rotunda=sqrt(1+2/sqrt(5))*Edge Length of Rotunda
Height of Rotunda=sqrt(1+2/sqrt(5))*sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))))
Height of Rotunda=sqrt(1+2/sqrt(5))*(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)

Can the Height of Rotunda given Surface to Volume Ratio be negative?

No, the Height of Rotunda given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Height of Rotunda given Surface to Volume Ratio?

Height of Rotunda given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Rotunda given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit